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Статья

Differential invariants for cubic integrals of geodesic flows on surfaces

Journal of Geometry and Physics. 2010. Vol. 60. No. 6-8. P. 833-856.
Matveev V. S., Vsevolod V. Shevchishin.

We construct differential invariants that vanish if and only if the geodesic flow of a two-dimensional metric admits an integral of third degree in momenta with a given Birkhoff–Kolokoltsov 3-codifferential.